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Finding the Fourth Proportional to 7,628.10, 10,520.98 and 6,567.67

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Solution

The fourth proportional to 7,628.10, 10,520.98 and 6,567.67 is: 9,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.10 : 10,520.98 = 6,567.67 : x
  2. Step 2: Convert to fraction form
    7,628.10/10,520.98 = 6,567.67/x
  3. Step 3: Cross multiply
    7,628.10x = 10,520.98 × 6,567.67
  4. Step 4: Simplify right side
    7,628.10x = 69,098,324.72
  5. Step 5: Solve for x
    x = 69,098,324.72/7,628.10
  6. Step 6: Final answer
    x = 9,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.